Search Results

• Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

  Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang, Cheng Yuan, Pingwen Zhang

  2023-09-15

  30105 2792 Pages:239-263

• Stability and Convergence Analysis of a Linear Energy Stable Scheme for a Cahn-Hilliard Model with Smooth or Weakly Singular Non-Local Term

  Moumita Mandal, Manisha Chowdhury, Jie Shen

  2025-06-04

  8515 549 Pages:194-218

• Convergence of an Embedded Exponential-Type Low-Regularity Integrators for the KdV Equation Without Loss of Regularity

  Yongsheng Li, Yifei Wu, Fangyan Yao

  2021-02-20

  54706 4716 Pages:1-21

• Application of the Alternating Direction Method of Multipliers to Control Constrained Parabolic Optimal Control Problems and Beyond

  Roland Glowinski, Yongcun Song, Xiaoming Yuan, Hangrui Yue

  2022-04-15

  43421 3100 Pages:115-158

• Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media

  Wenzhong Zhang, Bo Wang, Wei Cai

  2023-06-29

  27777 2774 Pages:99-148

• Mesh-Free Interpolant Observables for Continuous Data Assimilation

  Animikh Biswas, Kenneth R. Brown, Vincent R. Martinez

  2022-08-13

  293134 3166 Pages:296-355 Open-access

• Parallel Computing Method of Pure Alternative Segment Explicit-Implicit Difference Scheme for Nonlinear Leland Equation

  Ruifang Yan, Xiaozhong Yang, Shuzhen Sun

  2022-06-17

  25555 2777 Pages:302-318

• Gradient Descent for Symmetric Tensor Decomposition

  Jian-Feng Cai, Haixia Liu, Yang Wang

  2022-11-10

  293815 3291 Pages:385-413 Open-access

• The Global Landscape of Phase Retrieval I: Perturbed Amplitude Models

  Jian-Feng Cai, Meng Huang, Dong Li, Yang Wang

  2021-12-22

  34618 3195 Pages:437-512

• Probabilistic Error Estimate for Numerical Discretization of High-Index Saddle Dynamics with Inaccurate Models

  Lei Zhang, Pingwen Zhang, Xiangcheng Zheng

  2024-02-29

  20351 2487 Pages:1-20